The explanation for the correct option:

\(1.\) Vitamins are the nutrients, which are required in trace amounts for the proper functioning and development of the body.

\(2.\)Vitamins are of two types, that is, water-soluble and fat-soluble vitamins.

\(3.\) The vitamins, which are soluble in water are the water-soluble vitamins.

\(4.\) There are 9 water-soluble vitamins, of which 8 comes under the vitamin B complex, and the remaining one is vitamin \(C\).

\(5.\) Thus, vitamin B is water-soluble, not fat-soluble.

The explanation for the incorrect options:

Option \(A:\)

\(1.\) Vitamin A is a fat-soluble vitamin, which is involved in cellular communication, immune function, growth and development, and female and male reproduction.

\(2.\) Fat-soluble vitamins are the vitamins, which are stored in the liver, fatty tissues, and muscles of the body.

Option \(C:\)

\(1.\) Vitamin \(D\) is also a fat-soluble vitamin.

\(2.\) It assists in monitoring the amount of phosphate and calcium in the body.

\(3.\) This vitamin is needed to keep the teeth, bones, and muscles healthy.

Option \(D:\)

\(1.\) Vitamin \(E\) is a fat-soluble vitamin, it exhibits many forms, of which alphatocopherol is the only one utilized by the body of humans.

\(2.\) It acts as a powerful antioxidant and is required for cellular signaling and immune health in the body.